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Finding the Fourth Proportional to 110,478.32, 165,739.14 and 43,906.04

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Solution

The fourth proportional to 110,478.32, 165,739.14 and 43,906.04 is: 65,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,478.32 : 165,739.14 = 43,906.04 : x
  2. Step 2: Convert to fraction form
    110,478.32/165,739.14 = 43,906.04/x
  3. Step 3: Cross multiply
    110,478.32x = 165,739.14 × 43,906.04
  4. Step 4: Simplify right side
    110,478.32x = 7,276,949,310.41
  5. Step 5: Solve for x
    x = 7,276,949,310.41/110,478.32
  6. Step 6: Final answer
    x = 65,867.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.